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Simplifying 3[x + 8] = 2[x + -4] Reorder the terms: 3[8 + x] = 2[x + -4] [8 * 3 + x * 3] = 2[x + -4] [24 + 3x] = 2[x + -4] Reorder the terms: 24 + 3x = 2[-4 + x] 24 + 3x = [-4 * 2 + x * 2] 24 + 3x = [-8 + 2x] Solving 24 + 3x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 3x + -2x = -8 + 2x + -2x Combine like terms: 3x + -2x = 1x 24 + 1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 1x = -8 + 0 24 + 1x = -8 Add '-24' to each side of the equation. 24 + -24 + 1x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = -8 + -24 1x = -8 + -24 Combine like terms: -8 + -24 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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